Finding the Third Proportional to 12,164 and 25,288

Step by Step Solution

1. Step 1: Write the proportion equation
   12,164 : 25,288 = 25,288 : x
2. Step 2: Convert to fraction form
   12,164/25,288 = 25,288/x
3. Step 3: Cross multiply
   12,164x = 25,288 × 25,288
4. Step 4: Simplify right side
   12,164x = 639,482,944
5. Step 5: Solve for x
   x = 639,482,944/12,164
6. Step 6: Final answer
   x = 52,571.76